├── requirements.txt ├── results ├── kriging.pdf ├── trend.pdf └── variogram.pdf ├── .zenodo.json ├── LICENSE ├── README.md ├── .gitignore ├── src ├── 00_data_download.py └── 01_dwd_krige.py └── data ├── de_borders.txt └── temp_obs.txt /requirements.txt: -------------------------------------------------------------------------------- 1 | gstools==1.3.1 2 | matplotlib 3 | cartopy==0.18.0 4 | geopandas==0.8.1 5 | wetterdienst==0.13.0 -------------------------------------------------------------------------------- /results/kriging.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GeoStat-Examples/gstools-temperature-trend/master/results/kriging.pdf -------------------------------------------------------------------------------- /results/trend.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GeoStat-Examples/gstools-temperature-trend/master/results/trend.pdf -------------------------------------------------------------------------------- /results/variogram.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GeoStat-Examples/gstools-temperature-trend/master/results/variogram.pdf -------------------------------------------------------------------------------- /.zenodo.json: -------------------------------------------------------------------------------- 1 | { 2 | "license": "MIT", 3 | "language": "eng", 4 | "creators": [ 5 | { 6 | "orcid": "0000-0001-9060-4008", 7 | "affiliation": "Helmholtz Centre for Environmental Research - UFZ", 8 | "name": "Sebastian M\u00fcller" 9 | } 10 | ] 11 | } 12 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2020 GeoStat-Examples 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | [![GS-Frame](https://img.shields.io/badge/github-GeoStat_Framework-468a88?logo=github&style=flat)](https://github.com/GeoStat-Framework) 2 | [![Gitter](https://badges.gitter.im/GeoStat-Examples/community.svg)](https://gitter.im/GeoStat-Examples/community?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge) 3 | [![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.5159727.svg)](https://doi.org/10.5281/zenodo.5159727) 4 | 5 | # Finding a temperature trend in DWD data: regression vs. universal kriging 6 | 7 | In this example we are going to interpolate temperature data from the 8 | german weather service (DWD) downlaoded through the python package 9 | [wetterdienst](https://github.com/earthobservations/wetterdienst). 10 | 11 | In order to find a north-south trend in the data we will compare results from 12 | regression and universal kriging provided by GSTools. 13 | 14 | 15 | ## Structure 16 | 17 | The workflow is organized by the following structure: 18 | - `data/` - downloaded temperature data and german border line 19 | - `src/` 20 | - `00_data_download.py` - downloading routines 21 | - `01_dwd_krige.py` - interpolation and comparison plot generation 22 | - `results/` - all produced results 23 | 24 | 25 | ## Python environment 26 | 27 | Main Python dependencies are stored in `requirements.txt`: 28 | 29 | ``` 30 | gstools==1.3.1 31 | matplotlib 32 | cartopy==0.18.0 33 | geopandas==0.8.1 34 | wetterdienst==0.13.0 35 | ``` 36 | 37 | You can install them with `pip` (potentially in a virtual environment): 38 | 39 | ```bash 40 | pip install -r requirements.txt 41 | ``` 42 | 43 | 44 | ## Contact 45 | 46 | You can contact us via . 47 | 48 | 49 | ## License 50 | 51 | MIT © 2021 52 | -------------------------------------------------------------------------------- /.gitignore: -------------------------------------------------------------------------------- 1 | # Byte-compiled / optimized / DLL files 2 | __pycache__/ 3 | *.py[cod] 4 | *$py.class 5 | 6 | # C extensions 7 | *.so 8 | 9 | # Distribution / packaging 10 | .Python 11 | build/ 12 | develop-eggs/ 13 | dist/ 14 | downloads/ 15 | eggs/ 16 | .eggs/ 17 | lib/ 18 | lib64/ 19 | parts/ 20 | sdist/ 21 | var/ 22 | wheels/ 23 | pip-wheel-metadata/ 24 | share/python-wheels/ 25 | *.egg-info/ 26 | .installed.cfg 27 | *.egg 28 | MANIFEST 29 | 30 | # PyInstaller 31 | # Usually these files are written by a python script from a template 32 | # before PyInstaller builds the exe, so as to inject date/other infos into it. 33 | *.manifest 34 | *.spec 35 | 36 | # Installer logs 37 | pip-log.txt 38 | pip-delete-this-directory.txt 39 | 40 | # Unit test / coverage reports 41 | htmlcov/ 42 | .tox/ 43 | .nox/ 44 | .coverage 45 | .coverage.* 46 | .cache 47 | nosetests.xml 48 | coverage.xml 49 | *.cover 50 | *.py,cover 51 | .hypothesis/ 52 | .pytest_cache/ 53 | 54 | # Translations 55 | *.mo 56 | *.pot 57 | 58 | # Django stuff: 59 | *.log 60 | local_settings.py 61 | db.sqlite3 62 | db.sqlite3-journal 63 | 64 | # Flask stuff: 65 | instance/ 66 | .webassets-cache 67 | 68 | # Scrapy stuff: 69 | .scrapy 70 | 71 | # Sphinx documentation 72 | docs/_build/ 73 | 74 | # PyBuilder 75 | target/ 76 | 77 | # Jupyter Notebook 78 | .ipynb_checkpoints 79 | 80 | # IPython 81 | profile_default/ 82 | ipython_config.py 83 | 84 | # pyenv 85 | .python-version 86 | 87 | # pipenv 88 | # According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control. 89 | # However, in case of collaboration, if having platform-specific dependencies or dependencies 90 | # having no cross-platform support, pipenv may install dependencies that don't work, or not 91 | # install all needed dependencies. 92 | #Pipfile.lock 93 | 94 | # PEP 582; used by e.g. github.com/David-OConnor/pyflow 95 | __pypackages__/ 96 | 97 | # Celery stuff 98 | celerybeat-schedule 99 | celerybeat.pid 100 | 101 | # SageMath parsed files 102 | *.sage.py 103 | 104 | # Environments 105 | .env 106 | .venv 107 | env/ 108 | venv/ 109 | ENV/ 110 | env.bak/ 111 | venv.bak/ 112 | 113 | # Spyder project settings 114 | .spyderproject 115 | .spyproject 116 | 117 | # Rope project settings 118 | .ropeproject 119 | 120 | # mkdocs documentation 121 | /site 122 | 123 | # mypy 124 | .mypy_cache/ 125 | .dmypy.json 126 | dmypy.json 127 | 128 | # Pyre type checker 129 | .pyre/ 130 | -------------------------------------------------------------------------------- /src/00_data_download.py: -------------------------------------------------------------------------------- 1 | """ 2 | Kriging geographical data 3 | ------------------------- 4 | 5 | In this example we are going to interpolate actual temperature data from 6 | the German weather service `DWD `_. 7 | 8 | Data is retrieved utilizing the beautiful package 9 | `wetterdienst `_, 10 | which serves as an API for the DWD data. 11 | 12 | For better visualization, we also download a simple shapefile of the German 13 | borderline with `cartopy `_. 14 | """ 15 | import os 16 | import numpy as np 17 | from cartopy.io import shapereader as shp_read # version 0.18.0 18 | import geopandas as gp # version 0.8.1 19 | from wetterdienst.dwd import observations as obs # version 0.13.0 20 | 21 | 22 | def get_borders_germany(): 23 | """Download simple german shape file with cartopy.""" 24 | shpfile = shp_read.natural_earth("50m", "cultural", "admin_0_countries") 25 | df = gp.read_file(shpfile) # only use the simplest polygon 26 | poly = df.loc[df["ADMIN"] == "Germany"]["geometry"].values[0][0] 27 | path = os.path.join("..", "data", "de_borders.txt") 28 | np.savetxt(path, list(poly.exterior.coords)) 29 | 30 | 31 | def get_dwd_temperature(date="2020-06-09 12:00:00"): 32 | """Get air temperature from german weather stations from 9.6.20 12:00.""" 33 | settings = dict( 34 | resolution=obs.DWDObservationResolution.HOURLY, 35 | start_date=date, 36 | end_date=date, 37 | ) 38 | sites = obs.DWDObservationStations( 39 | parameter_set=obs.DWDObservationParameterSet.TEMPERATURE_AIR, 40 | period=obs.DWDObservationPeriod.RECENT, 41 | **settings, 42 | ) 43 | ids, lat, lon = sites.all().loc[:, ["STATION_ID", "LAT", "LON"]].values.T 44 | observations = obs.DWDObservationData( 45 | station_ids=ids, 46 | parameters=obs.DWDObservationParameter.HOURLY.TEMPERATURE_AIR_200, 47 | periods=obs.DWDObservationPeriod.RECENT, 48 | **settings, 49 | ) 50 | temp = observations.all().VALUE.values 51 | sel = np.isfinite(temp) 52 | # select only valid temperature data 53 | ids, lat, lon, temp = ids.astype(float)[sel], lat[sel], lon[sel], temp[sel] 54 | head = "id, lat, lon, temp" # add a header to the file 55 | path = os.path.join("..", "data", "temp_obs.txt") 56 | np.savetxt(path, np.array([ids, lat, lon, temp]).T, header=head) 57 | 58 | 59 | get_borders_germany() 60 | get_dwd_temperature(date="2020-06-09 12:00:00") 61 | -------------------------------------------------------------------------------- /src/01_dwd_krige.py: -------------------------------------------------------------------------------- 1 | """ 2 | Kriging geographical data 3 | ------------------------- 4 | 5 | In this example we are going to interpolate actual temperature data from 6 | the German weather service `DWD `_. 7 | """ 8 | import os 9 | import numpy as np 10 | from scipy import stats 11 | import matplotlib.pyplot as plt 12 | import gstools as gs 13 | 14 | 15 | border = np.loadtxt(os.path.join("..", "data", "de_borders.txt")) 16 | ids, lat, lon, temp = np.loadtxt(os.path.join("..", "data", "temp_obs.txt")).T 17 | 18 | ############################################################################### 19 | # First we will estimate the variogram of our temperature data. 20 | # As the maximal bin distance we choose 8 degrees, which corresponds to a 21 | # chordal length of about 900 km. 22 | 23 | bins = gs.standard_bins((lat, lon), max_dist=np.deg2rad(8), latlon=True) 24 | bin_c, vario = gs.vario_estimate((lat, lon), temp, bin_edges=bins, latlon=True) 25 | 26 | ############################################################################### 27 | # Now we can use this estimated variogram to fit a model to it. 28 | # Here we will use a :any:`Spherical` model. We select the ``latlon`` option 29 | # to use the `Yadrenko` variant of the model to gain a valid model for lat-lon 30 | # coordinates and we rescale it to the earth-radius. Otherwise the length 31 | # scale would be given in radians representing the great-circle distance. 32 | # 33 | # We deselect the nugget from fitting and plot the result afterwards. 34 | # 35 | # .. note:: 36 | # 37 | # You need to plot the Yadrenko variogram, since the standard variogram 38 | # still holds the ordinary routine that is not respecting the great-circle 39 | # distance. 40 | 41 | model = gs.Spherical(latlon=True, rescale=gs.EARTH_RADIUS) 42 | model.fit_variogram(bin_c, vario, nugget=False) 43 | ax = model.plot("vario_yadrenko", x_max=bin_c[-1]) 44 | ax.scatter(bin_c, vario) 45 | ax.set_xlabel("great circle distance / radians") 46 | ax.set_ylabel("semi-variogram") 47 | fig = ax.get_figure() 48 | fig.savefig(os.path.join("..", "results", "variogram.pdf"), dpi=300) 49 | print(model) 50 | 51 | ############################################################################### 52 | # As we see, we have a rather large correlation length of ca. 600 km. 53 | # 54 | # Now we want to interpolate the data using Universal and Regression kriging 55 | # in order to compare them. 56 | # We will use a north-south drift by assuming a linear correlation 57 | # of temperature with latitude. 58 | 59 | 60 | def north_south_drift(lat, lon): 61 | """North south trend depending linearly on latitude.""" 62 | return lat 63 | 64 | 65 | uk = gs.krige.Universal( 66 | model=model, 67 | cond_pos=(lat, lon), 68 | cond_val=temp, 69 | drift_functions=north_south_drift, 70 | ) 71 | 72 | # fit linear regression model for temperature depending on latitude 73 | regress = stats.linregress(lat, temp) 74 | trend = lambda x, y: regress.intercept + regress.slope * x 75 | 76 | dk = gs.krige.Detrended( 77 | model=model, 78 | cond_pos=(lat, lon), 79 | cond_val=temp, 80 | trend=trend, 81 | ) 82 | 83 | ############################################################################### 84 | # Now we generate the kriging field, by defining a lat-lon grid that covers 85 | # the whole of Germany. The :any:`Krige` class provides the option to only 86 | # krige the mean field, so one can have a glimpse at the estimated drift. 87 | 88 | g_lat = np.arange(47, 56.1, 0.1) 89 | g_lon = np.arange(5, 16.1, 0.1) 90 | 91 | fld_uk = uk((g_lat, g_lon), mesh_type="structured", return_var=False) 92 | mean = uk((g_lat, g_lon), mesh_type="structured", only_mean=True) 93 | fld_dk = dk((g_lat, g_lon), mesh_type="structured", return_var=False) 94 | 95 | ############################################################################### 96 | # And that's it. Now let's have a look at the generated field and the input 97 | # data along with the estimated mean: 98 | 99 | levels = np.linspace(5, 23, 64) 100 | fig, ax = plt.subplots(1, 3, figsize=[10, 5], sharey=True) 101 | sca = ax[0].scatter(lon, lat, c=temp, vmin=5, vmax=23, cmap="coolwarm") 102 | co1 = ax[1].contourf(g_lon, g_lat, fld_uk, levels, cmap="coolwarm") 103 | co2 = ax[2].contourf(g_lon, g_lat, fld_dk, levels, cmap="coolwarm") 104 | # pdf anti-alias 105 | ax[1].contour(g_lon, g_lat, fld_uk, levels, cmap="coolwarm", zorder=-10) 106 | ax[2].contour(g_lon, g_lat, fld_dk, levels, cmap="coolwarm", zorder=-10) 107 | 108 | [ax[i].plot(border[:, 0], border[:, 1], color="k") for i in range(3)] 109 | [ax[i].set_xlim([5, 16]) for i in range(3)] 110 | [ax[i].set_xlabel("Longitude / °") for i in range(3)] 111 | ax[0].set_ylabel("Latitude / °") 112 | 113 | ax[0].set_title("Temperature observations at 2m\nfrom DWD (2020-06-09 12:00)") 114 | ax[1].set_title("Universal Kriging\nwith North-South drift") 115 | ax[2].set_title("Regression Kriging\nwith North-South trend") 116 | 117 | fmt = dict(orientation="horizontal", shrink=0.5, fraction=0.1, pad=0.2) 118 | fig.colorbar(co2, ax=ax, **fmt).set_label("T / °C") 119 | fig.savefig(os.path.join("..", "results", "kriging.pdf"), dpi=300) 120 | 121 | ############################################################################### 122 | # To get a better impression of the estimated north-south drift and trend, 123 | # we'll take a look at a cross-section at a longitude of 10 degree: 124 | 125 | fig, ax = plt.subplots() 126 | label = "latitude-temperature scatter" 127 | reg_trend = trend(g_lat, g_lon) 128 | ax.scatter(lat, temp, c="silver", alpha=1.0, edgecolors="none", label=label) 129 | ax.plot(g_lat, fld_uk[:, 50], c="C0", label="Universal Kriging: temperature (10° lon)") 130 | ax.plot(g_lat, mean[:, 50], "--", c="C0", label="North-South drift: Universal Kriging") 131 | ax.plot(g_lat, fld_dk[:, 50], c="C1", label="Regression Kriging: temperature (10° lon)") 132 | ax.plot(g_lat, reg_trend, "--", c="C1", label="North-South trend: Regression Kriging") 133 | ax.set_ylim(7) 134 | ax.set_xlabel("Latitude / °") 135 | ax.set_ylabel("T / °C") 136 | ax.set_title("North-South cross-section") 137 | ax.legend() 138 | fig.savefig(os.path.join("..", "results", "trend.pdf"), dpi=300) 139 | -------------------------------------------------------------------------------- /data/de_borders.txt: -------------------------------------------------------------------------------- 1 | 9.524023437500005684e+00 4.752421874999999574e+01 2 | 9.350000000000022737e+00 4.759892578124999574e+01 3 | 9.182812500000011369e+00 4.767070312499999574e+01 4 | 9.127539062500005684e+00 4.767070312499999574e+01 5 | 8.881152343750017053e+00 4.765639648437499432e+01 6 | 8.874023437500000000e+00 4.766269531249999858e+01 7 | 8.831152343750005684e+00 4.770361328125000000e+01 8 | 8.793066406250005684e+00 4.771655273437500000e+01 9 | 8.770117187500005684e+00 4.770991210937499716e+01 10 | 8.754785156250022737e+00 4.769804687499999574e+01 11 | 8.728320312500017053e+00 4.770004882812499858e+01 12 | 8.617871093750011369e+00 4.776611328125000000e+01 13 | 8.572656250000022737e+00 4.777563476562500000e+01 14 | 8.509863281250005684e+00 4.776689453124999574e+01 15 | 8.435742187500011369e+00 4.773134765624999432e+01 16 | 8.403417968750005684e+00 4.768779296874999574e+01 17 | 8.413281250000011369e+00 4.766269531249999858e+01 18 | 8.451757812500005684e+00 4.765180664062499716e+01 19 | 8.552343750000005684e+00 4.765913085937499716e+01 20 | 8.567089843750011369e+00 4.765190429687499574e+01 21 | 8.570507812500011369e+00 4.763779296874999858e+01 22 | 8.559472656250022737e+00 4.762402343750000000e+01 23 | 8.477636718750005684e+00 4.761269531249999432e+01 24 | 8.454003906250022737e+00 4.759619140625000000e+01 25 | 8.430078125000022737e+00 4.759213867187499858e+01 26 | 8.414746093750011369e+00 4.758959960937500000e+01 27 | 8.327832031250011369e+00 4.760693359375000000e+01 28 | 8.198242187500000000e+00 4.760693359375000000e+01 29 | 8.093750000000000000e+00 4.757617187500000000e+01 30 | 7.927050781250017053e+00 4.756386718749999432e+01 31 | 7.698046875000017053e+00 4.756987304687499574e+01 32 | 7.615625000000022737e+00 4.759272460937499716e+01 33 | 7.565429687500000000e+00 4.760654296874999858e+01 34 | 7.529394531250005684e+00 4.767387695312499574e+01 35 | 7.538574218750000000e+00 4.777363281249999716e+01 36 | 7.593261718750000000e+00 4.790566406249999432e+01 37 | 7.608496093750005684e+00 4.800258789062499432e+01 38 | 7.584179687500011369e+00 4.806430664062499858e+01 39 | 7.616601562500022737e+00 4.815678710937499574e+01 40 | 7.705664062500005684e+00 4.828002929687500000e+01 41 | 7.765136718750000000e+00 4.841000976562499858e+01 42 | 7.794824218750022737e+00 4.854682617187499716e+01 43 | 7.837988281250005684e+00 4.863603515624999574e+01 44 | 7.922753906250022737e+00 4.869853515624999574e+01 45 | 8.124023437500000000e+00 4.887329101562500000e+01 46 | 8.140332031250011369e+00 4.888642578124999716e+01 47 | 8.134863281250005684e+00 4.897358398437499716e+01 48 | 8.080664062500005684e+00 4.898588867187499574e+01 49 | 8.001269531250017053e+00 4.901093749999999716e+01 50 | 7.799218750000022737e+00 4.904189453124999432e+01 51 | 7.610937500000005684e+00 4.906176757812500000e+01 52 | 7.525488281250005684e+00 4.908637695312499716e+01 53 | 7.450585937500022737e+00 4.915219726562499858e+01 54 | 7.404199218750022737e+00 4.915307617187500000e+01 55 | 7.313378906250022737e+00 4.912954101562499432e+01 56 | 7.199902343750011369e+00 4.911362304687499858e+01 57 | 7.117382812500011369e+00 4.912753906249999858e+01 58 | 7.065722656250017053e+00 4.912485351562499858e+01 59 | 7.036718750000005684e+00 4.911269531249999432e+01 60 | 7.022167968750011369e+00 4.912343749999999432e+01 61 | 7.001464843750000000e+00 4.917988281249999716e+01 62 | 6.958300781250017053e+00 4.919462890624999574e+01 63 | 6.891210937500005684e+00 4.920751953125000000e+01 64 | 6.849511718750022737e+00 4.920195312499999574e+01 65 | 6.820703125000022737e+00 4.917392578124999858e+01 66 | 6.776269531250022737e+00 4.915415039062499858e+01 67 | 6.735449218750005684e+00 4.916059570312499716e+01 68 | 6.607617187500011369e+00 4.929086914062499858e+01 69 | 6.574707031250000000e+00 4.931967773437499858e+01 70 | 6.566308593750022737e+00 4.934619140625000000e+01 71 | 6.534277343750005684e+00 4.939467773437499432e+01 72 | 6.458105468750005684e+00 4.944287109375000000e+01 73 | 6.382226562500022737e+00 4.945815429687499432e+01 74 | 6.344335937500005684e+00 4.945273437499999858e+01 75 | 6.348437500000017053e+00 4.951269531250000000e+01 76 | 6.378320312500022737e+00 4.959960937500000000e+01 77 | 6.406738281250000000e+00 4.964497070312499716e+01 78 | 6.444628906250017053e+00 4.968203124999999432e+01 79 | 6.484765625000022737e+00 4.970781249999999574e+01 80 | 6.493750000000005684e+00 4.975439453125000000e+01 81 | 6.487304687500000000e+00 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